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It depends on what the denominator was to start with: a surd or irrational or a complex number.
You need to find the conjugate and multiply the numerator by this conjugate as well as the denominator by the conjugate. Since multiplication is by [conjugate over conjugate], which equals 1, the value is not affected.
If a and b are rational numbers, then
conjugate of sqrt(b) = sqrt(b)
conjugate of a + sqrt(b) = a - sqrt(b), and
conjugate of a + ib = a - ib where i is the imaginary square root of -1.
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28 radical 3 divided by 3?
It could be written as 28 divided by radical 3. However, you will normally be required to rationalise the denominator which brings you back to 28 radical 3 divided by 3.
What is 5 divided by square root of 2?
2.5
What is the common denominator of 56 and 7?
A common denominator is 7.A common denominator is 7.A common denominator is 7.A common denominator is 7.
What tells the total number of equal parts?
The denominator - before simplification.The denominator - before simplification.The denominator - before simplification.The denominator - before simplification.
Can the denominator be a fraction?
YES a fraction can be a denominator.
When dividing radicalsif there is a radical in the denominator you have to?
Rationalise the denominator.
Could a radical remain in the denominator?
Yes, it could. But for school-level mathematics it is usual to rationalise denominators.
Can you use conjugates to rationalize the denominator even when the denominator contains two radical terms?
Yes. The original denominator and its conjugate will form the factors of a Difference of Two Squares (DOTS) and that will rationalise the denominator but only if the radicals are SQUARE roots.
How Can You Solve A Radical Expression?
It depends on what you mean by solve: simplify, evaluate or rationalise the denominator. The answer will also depend on the radical expression.
Can two irrational numbers have a product as rational?
Yes. A simple example: sqrt(2)*sqrt(2) = 2 This property is used to "simplify" (rationalise the denominator of) surds.
What is rationalisation?
Rationalization is the process of converting the irrational denominator of a given fraction into rational by multiplying and dividing by suitable terms. For example, consider, 2/3√2 Here the denominator is an irrational number to rationalize this fraction follow the steps: Find a number which on multiplying with denominator returns a rational number( here √2 * √2 will give 2 which is a rational number ). Multiply numerator and denominator with the number you just found {(2/3√2) becomes (2/3√2)(√2/√2) = 2√2/6) Now the rationalized result is 2√2/6
28 radical 3 divided by 3?
It could be written as 28 divided by radical 3. However, you will normally be required to rationalise the denominator which brings you back to 28 radical 3 divided by 3.
How do you rationalize a denominator?
You multiply the numerator and the denominator by the same expression - and do it in such a way that the denominator becomes rational.Example 1: The denominator is square root of 5, which I will call root(5). If you multiply top and bottom by root(5), the denominator will become rational. Example 2: The denominator is root(2) + root(3). If you multiply top and bottom by root(2) - root(3), then the denominator will become rational.
Is the product of two irrational numbers is an integer?
It can be, but need not be. [sqrt(5)+sqrt(2)] and [sqrt(5)-sqrt(2)] are both irrational. Their product is 5-2 = 3. The two numbers are conjugates of one another and the property that their product is an integer is used to rationalise denominator of surds.
Why to pursue economic honours?
So that you can rationalise and give reasons to whatever going wrong
What is the purpose of Poetics?
To rationalise thinking by giving a different meaning to an odinary terms and expressions.
What is 5 divided by square root of 2?
2.5
